Dakota Mixes two cereals for breakfast. one gram of cereal A has 6 grams of sodium and 7 calories. one gram of cereal B has 8 milligrams of sodium and 5 calories. She want a bowl of cereal that contains no more than 200 milligrams of sodium and 150 calories. let A equal number of grams of cereal of A and B equal the number of grams of cereal B where A>0 and B>0 which system of inequality represent the possible way Dakota can mix the cereal ?
Let's assume
x be the number of loads by land carriers
y be the number of loads by air carriers
so, maximum number of loads can be 150
total number of loads =(the number of loads by land carriers)+(the number of loads by air carriers)
so, we get
[tex]x+y\leq 150[/tex]
the mail is sent via ground in air each land carrier takes 2000 pieces per load
so, total number of pieces by land =2000x
each air carrier takes 1500 pieces per load the
so, total number of pieces by air =1500y
total number of pieces = (total number of pieces by land)+(total number of pieces by air)
now, we can plug values
total number of pieces =2000x+1500y
A mail distribution center processes as many as 175000 pieces of mail each day
so, we get
[tex]2000x+1500y\leq 175000[/tex]
so, we get system of inequality as
[tex]x+y\leq 150[/tex]
[tex]2000x+1500y\leq 175000[/tex]................Answer
Answer & Explanation:
A compound inequality contains at least two inequalities that are separated by either "and" or "or". The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities.To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
Y is less than or equal to 65 and X + y= less than or equal to 95